Two-step Equations and Inequalities

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41
• Calvin ran no less than 41 miles, m
• The temperature, m, was less than 41°F
• The magazines’ cost, m, was not more than $41.

Tags

CCSS.6.EE.B.8

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 2x + 10 ≤ 25
• 2x + 10 < 25

Tags

CCSS.7.EE.B.4B

Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?

• 4x - 6 > 22
• 4x + 6 < 22
• 4x + 6 ≥ 22
• 4x + 6 > 22

Tags

CCSS.7.EE.B.4B

Brewster collected 100 pounds of aluminum cans to recycle.  He plans to collect an additional 25 pounds each week.  Write and graph the equation for the total pounds, P, of aluminum cans after w weeks. 

• P = 125w
• P = 100 + 25w
• P = 100w + 25
• P = 100 + 25

Tags

CCSS.HSF-BF.A.1A

The water level of a river is 34 feet and that it is receding (decreasing) at a rate of 0.5 foot per day.  Write an equation for the water level, L, after d days.

• L = 34 + 0.5d
• L = 34 - 0.5d
• L = 0.5 + 34d
• L = 0.5 - 34d

Tags

CCSS.HSF-BF.A.1A

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

• 54
• 45
• 56
• 65

Tags

CCSS.7.EE.B.4A

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Tags

CCSS.HSA.CED.A.3

Jennifer has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take her to finish the book?

• 9 days
• 10 days
• 20 days
• 13 days

Tags

CCSS.7.EE.B.4A

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Tags

CCSS.6.EE.B.8

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Tags

CCSS.6.EE.B.8